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Finding the Fourth Proportional to 3,042.72, 4,564.08 and 2,466

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Solution

The fourth proportional to 3,042.72, 4,564.08 and 2,466 is: 3,699

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.72 : 4,564.08 = 2,466 : x
  2. Step 2: Convert to fraction form
    3,042.72/4,564.08 = 2,466/x
  3. Step 3: Cross multiply
    3,042.72x = 4,564.08 × 2,466
  4. Step 4: Simplify right side
    3,042.72x = 11,255,021.28
  5. Step 5: Solve for x
    x = 11,255,021.28/3,042.72
  6. Step 6: Final answer
    x = 3,699

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.